The first zombie was created by some douche bag scientists who wanted a new weapon that could not be destroyed entirely. One that felt no pain and even if it had lost a limb would still come after its enemy. The government took over this experimentation, but something went wrong. Zombies started appearing everywhere, taking up the name "Zed" by people who had survived the first wave of attacks. Eventually people smarted up to what was going on and found weapons and food before laying low for a bit to wait for it all to blow over. But it didn't.
The government tried to find a cure for the Zed outbreak, but instead made the Zed stronger than they ever were. Now there are Zed running around with heat vision, the ability to breathe fire, and even some are able to turn invisible to most humans. The humans were soon close to extinction, but an entire city survived underground... the city was called "Hope".
Twenty-nine years later, a circle of friends decided that they would go out into the Zed-infested world and try and end the outbreak once and for all...
(Just shooting an idea out there... it seemed fun to me...)
Personally, I think the heat vision, fire breathing, and invisibility are a bit too much for a zombie. The idea is okay but its lacking a lot of details. It just seems like this wouldn't last very long. I'm not trying to hate on your idea, I'm just giving some constructive criticism. A good idea for a zombie rp, which I haven't really seen a lot of yet, would be something like the game DayZ, where you start out with no weapons or equipment and you have to maintain health levels such as blood, water, and hunger. Night would be pitch black, so you would have to find light sources, but they would attract zombies. Also, you could either band together with other characters or fight them in hopes of killing them and taking their gear. I think that would be an awesome idea for a zombie rp and I haven't really seen anyone try it yet.